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Finding the Fourth Proportional to 702.78, 969.87 and 392.22

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Solution

The fourth proportional to 702.78, 969.87 and 392.22 is: 541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 969.87 = 392.22 : x
  2. Step 2: Convert to fraction form
    702.78/969.87 = 392.22/x
  3. Step 3: Cross multiply
    702.78x = 969.87 × 392.22
  4. Step 4: Simplify right side
    702.78x = 380,402.41
  5. Step 5: Solve for x
    x = 380,402.41/702.78
  6. Step 6: Final answer
    x = 541.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.